“These engineering marvels are a new species of infrastructure: supercomputers designed to train and run large language models at mind-bending scale, complete with their own specialized chips, cooling systems, and even energy…”

“Softmax takes the raw, unbounded scores produced by a neural network and transforms them into a well-defined probability distribution...”

“If you treat colors like the 'words' in the example above, and how many pixels of that color are in the image, human made images (artwork, photography, etc) DO NOT follow a zipfian distribution, but AI generated images (across several models I tested) DO follow a zipfian distribution.”

“B-Trans effectively leverage the wisdom of crowds, yielding superior semantic diversity while achieving better task performance compared to deterministic baselines.”

“Despite the formal identification result, the ability to learn about monotonicity from data in practice is severely limited.”

“The key methodological innovation is that orthogonal complement projections completely eliminate cross-modal interference when estimating each loading space.”

“Even the top-performing OpenAI-GPT-5.1 achieves only 62.07% accuracy, and model performance displays a clear gradient distribution.”

“The entanglement entropy naturally emerges from the normalization condition of the Husimi distribution within this framework.”

“The paper obtains mean-field analogues of momentum distribution formulas for electron gas in high density and metallic density limits, and applies to a general class of singular potentials.”

“The paper introduces smooth cumulative- and inverse-cumulative-distribution-function ((I)CDF) timesteppers that evolve distributions rather than particles.”

“Late time levels are enhanced for the coated particles, implying a reduced effective interfacial diffusivity and a broadened release-time distribution.”

“The paper introduces a general, model-agnostic training and inference framework for joint generative forecasting and shows how it enables assessment of forecast robustness and reliability using three complementary uncertainty quantification metrics.”

“Cube particles form a simple square assembly, overcoming lattice/topology incompatibility, and maximize entropy by distributing eight three-fold defects evenly on the sphere.”

“The paper aims to reproduce the differential mass distribution for the D*π system in B-decays and determine the D*π scattering length.”

“With a probability of about 0.5, there exists a brown dwarf in the immediate solar vicinity (< 1.2 pc).”

“The $R$ and $ρ$ of $Cu/Ge/SiO_2$ films were found to degrade much more slowly than similar characteristics of $Cu/SiO_2$ films of the same thickness.”

“BSD consistently yields higher test accuracy (e.g. +1.4% for ResNet-50 on CIFAR-100) and significantly lower Expected Calibration Error (ECE) (-40% ResNet-50, CIFAR-100) than existing architecture-preserving self-distillation methods.”

“The modular reduction allows us to exploit any SLC sampling algorithm in order to traverse the backwards path, and we establish novel guarantees with short proofs for both uni-modal and multi-modal densities.”

“The study suggests $σ_0\leq20$ can reproduce the MeV-TeV observations of GRB 221009A.”

“Hydrogen concentration gets localized in the colder region of the body (Soret effect).”

“The paper states: "We recover many RRab groups associated with known Galactic GCs and derive the first RR Lyrae-based distances for BH 140 and NGC 5986. We also detect small groups of two to three RRab stars at distances up to ~25 kpc that are not associated with any known GC, but display GC-like distributions in all six parameters."”

“The number of captured loops exhibits a pronounced peak at $ξ_{\textrm{peak}}≈ 12.5$, arising from the competition between rocket-driven ejection at small $ξ$ and the declining intrinsic loop abundance at large $ξ$.”

“The likelihood can be expressed in terms of small subgraphs.”

“The paper derives geodesic equations, analyzes the radial photon orbital equation, and explores the relationship between photon ring width and the Lyapunov exponent.”

“The analytical model reveals the presence of minimisation points of the breathing coefficient dependent on the initial granular organisation, showing possible ways to minimise the breathing of a granular material.”

“The title suggests a focus on theoretical analysis within the field of probability and statistics, specifically related to Markov processes and the Wasserstein distance.”

“Samples influenced by spurious features tend to exhibit a dispersed distribution in the learned feature space.”

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“The paper quantifies how the constraining capacities vary across different detectors and source parameters, and identifies the regions of parameter space that satisfy the small-coupling condition.”

“The paper introduces a general active nonparametric testing procedure that combines an adaptive source-selecting strategy within the testing-by-betting framework.”

“The paper develops a tractable inferential framework that avoids label enumeration and direct simulation of the latent state, exploiting a duality between the diffusion and a pure-death process on partitions.”

“FedAuto mitigates the combined effects of connection failures and data heterogeneity via adaptive aggregation.”

“The paper introduces a private estimator for the $p_0$ model parameters and demonstrates its asymptotic properties.”

“The research focuses on Kaon T-even transverse-momentum-dependent distributions and form factors.”

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“The article is a scientific research paper, so there are no direct quotes suitable for this field.”

“The research focuses on acceptor-doped ABO3 perovskites.”

“The research likely analyzes how galactic mergers and flybys influence the age distribution of stars.”

“The article's focus is on the one-level density of zeros of Γ1(q) L-functions.”

“CoLaS: Copula-Seeded Sparse Local Graphs with Tunable Assortativity, Persistent Clustering, and a Degree-Tail Dichotomy”

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“The article's subject is the asymptotic distribution of the likelihood ratio test statistic in two-peak discovery experiments.”

“The paper explores source distributions for image flow matching.”

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“The research is available on ArXiv.”

“The paper focuses on Maximum Likelihood Estimation (MLE) for Scaled Inhomogeneous Phase-Type Distributions from Discrete Observations.”

“The article's subject focuses on understanding the distribution of quasars and galaxies.”

“The article likely delves into the specifics of how VI and Normalizing Flows are implemented to generate proposals, the mathematical formulations, and the empirical results demonstrating the improvements over existing MCMC methods.”

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